According to a recent census, almost 65% of all households in the United States were composed of only one or two persons. Assuming that this percentage is still valid today, approximate the probability that between 603 and 659, inclusive, of the next 1000 randomly slected households in America will consist of either one or two persons.

First, define X, the discret random variable of interest and specify its distribution?

Then, approximate the desired probability using an appropriate method?